Electron. J. Diff. Equ., Vol. 2012 (2012), No. 225, pp. 1-34.

Direct and inverse problems for systems of singular differential boundary-value problems

Angelo Favini, Alfredo Lorenzi, Hiroki Tanabe

Real interpolation spaces are used for solving some direct and inverse linear evolution problems in Banach spaces, on the ground of space regularity assumptions.

Submitted November 10, 2012. Published December 11, 2012.
Math Subject Classifications: 35R30, 34G10, 35K20, 35K50, 45N05, 45Q05.
Key Words: Direct and inverse problems; first-order equations in Banach spaces; linear parabolic integro-differential equations; existence and uniqueness.

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Angelo Favini
Dipartimento di Matematica
Università degli Studi di Bologna
Piazza di Porta S. Donato 5, 40126, Bologna, Italy
email: favini@dm.unibo.it
  Alfredo Lorenzi
Dipartimento di Matematica ``F. Enriques''
Università degli Studi di Milano
via Saldini 50, 20133 Milano, Italy
email: alfredo.lorenzi@unimi.it
  Hiroki Tanabe
Takarazuka, Hirai Sanso 12-13
665-0817, Japan
email: h7tanabe@jttk.zaq.ne.jp

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